Department of Mathematics - Master Calendar

In upcoming joint work with I. Basile, C. Krulewski and G. Leone, we use homotopic and topological techniques to study anomaly cancellation in 6d supergravity theories. In this talk, I will give a quick overview of anomalies of quantum field theories and their classification using twisted bordism groups. Then, I will overview how we leverage the unstable classification of vector bundles over CP2 to construct explicit generators for 7-dimensional twisted string bordism groups, and I will show how to construct a complete family of index-theoretic invariants to detect the torsion in these groups.